5(1-n)+3n=3(n-1)+2

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Solution for 5(1-n)+3n=3(n-1)+2 equation:


Simplifying
5(1 + -1n) + 3n = 3(n + -1) + 2
(1 * 5 + -1n * 5) + 3n = 3(n + -1) + 2
(5 + -5n) + 3n = 3(n + -1) + 2

Combine like terms: -5n + 3n = -2n
5 + -2n = 3(n + -1) + 2

Reorder the terms:
5 + -2n = 3(-1 + n) + 2
5 + -2n = (-1 * 3 + n * 3) + 2
5 + -2n = (-3 + 3n) + 2

Reorder the terms:
5 + -2n = -3 + 2 + 3n

Combine like terms: -3 + 2 = -1
5 + -2n = -1 + 3n

Solving
5 + -2n = -1 + 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.
5 + -2n + -3n = -1 + 3n + -3n

Combine like terms: -2n + -3n = -5n
5 + -5n = -1 + 3n + -3n

Combine like terms: 3n + -3n = 0
5 + -5n = -1 + 0
5 + -5n = -1

Add '-5' to each side of the equation.
5 + -5 + -5n = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -5n = -1 + -5
-5n = -1 + -5

Combine like terms: -1 + -5 = -6
-5n = -6

Divide each side by '-5'.
n = 1.2

Simplifying
n = 1.2

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